Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 76971, 9 pages
doi:10.1155/2007/76971
Research Article

Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings

Meijuan Shang,1,2 Yongfu Su,1 and Xiaolong Qin3

 1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Received 23 May 2007; Accepted 2 August 2007

Recommended by J. R. L. Webb

Abstract

We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.